48-(3c+4)=4(c+5)+c

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Solution for 48-(3c+4)=4(c+5)+c equation: 


Simplifying
48 + -1(3c + 4) = 4(c + 5) + c

Reorder the terms:
48 + -1(4 + 3c) = 4(c + 5) + c
48 + (4 * -1 + 3c * -1) = 4(c + 5) + c
48 + (-4 + -3c) = 4(c + 5) + c

Combine like terms: 48 + -4 = 44
44 + -3c = 4(c + 5) + c

Reorder the terms:
44 + -3c = 4(5 + c) + c
44 + -3c = (5 * 4 + c * 4) + c
44 + -3c = (20 + 4c) + c

Combine like terms: 4c + c = 5c
44 + -3c = 20 + 5c

Solving
44 + -3c = 20 + 5c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-5c' to each side of the equation.
44 + -3c + -5c = 20 + 5c + -5c

Combine like terms: -3c + -5c = -8c
44 + -8c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
44 + -8c = 20 + 0
44 + -8c = 20

Add '-44' to each side of the equation.
44 + -44 + -8c = 20 + -44

Combine like terms: 44 + -44 = 0
0 + -8c = 20 + -44
-8c = 20 + -44

Combine like terms: 20 + -44 = -24
-8c = -24

Divide each side by '-8'.
c = 3

Simplifying
c = 3

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